A fixed point theorem for generalized metric spaces

In this paper we prove two fixed point theorems for the generalized metric spaces introduced by Dhage

On absolute normal double matrix summability methods

It is shown that, if T is a row finite nonnegative double summability matrix satisfying certain conditions, then |T|k summability is stronger than |N, pn|k summability, for k 1. As special summability methods T we consider weighted mean and double Cesaro, (C, 1, 1), methods

A fixed fuzzy point for fuzzy mapping in complete metric spaces

In this paper, we prove a fixed fuzzy point theorem for fuzzy mappings over a complete metric space

Reforming Custody Laws: A Comparative Study

This article looks at the outcomes of recent custody law reform inquiries in Canada and Australia, and examines the ways in which the reform processes in each country dealt with the claims of the various stakeholders and the emerging empirical research on post-separation parenting. Although the outcomes of the two processes were significantly different - one espousing a belief that \u27no one size fits all families\u27, the other promoting different approaches for differently situated families with a preference for shared parenting - it is argued that both reflect the moderating influence of the empirical evidence on the claims made by disaffected consumers of the family law system, a characteristic that distinguishes them from Australia\u27s 1995 custody reform process

Common fixed point theorems for occasionally weakly compatible mappings satisfying a generalized contractive condition

We obtain several fixed point theorems for a class of operators called occasionally weakly compatible maps defined on a symmetric space satisfying a generalized contractive condition. These results establish some of the most general fixed point theorems for four maps. Our theorem generalizes Theorem 1 of [A. Aliouche, A common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying a contractive condition of integral type, J. Math. Anal. Appl. 322(2006),796-802] and Theorem 1 of [X. Zhang, Common fixed point theorems for some new generalized contractive type mappings, J. Math. Anal. Appl. 333(2007), 780-786] and those contained therein

The Stuff You Need Out Here : A Semiotic Case Study Analysis of an Agricultural Company\u27s Advertisements

In today’s mediated society, people are continually searching to describe relationships among themselves, the items they encounter in their physical environment, and the cultural and historical contexts in which they reside. By placing meaning-laden visuals in a medium as popular as magazines with rural audiences, advertisers are sending messages as to what rural life is. The 2004-2005 advertising campaign of the Tractor Supply Company utilized photographs of rural life to sell viewers “ The stuff you need out here.” This advertising campaign, which relied heavily on a humorous appeal to play into stereotypical images of rural life, was seen in a variety of magazines that reach rural audiences. Using semiology as the framework of how images construct meanings, this case study sheds light on the various messages behind these advertisements and how they convey the cultures of rural life to farm and non-farm audiences. It is apparent that these advertisements have a tendency to play into the dominant ideology of what farming and farmers look like. Through simplistic images playing into known stereotypes such as male domination, rural work ethic, and freedom, the dominant ideal is enforced through the selling of these products. By utilizing American ideals and colors, the advertisements played into the American ideal of patriotism

Duality and differential operators for harmonic Maass forms

Due to the graded ring nature of classical modular forms, there are many interesting relations between the coefficients of different modular forms. We discuss additional relations arising from Duality, Borcherds products, theta lifts. Using the explicit description of a lift for weakly holomorphic forms, we realize the differential operator ${D}^{k-1} := {( \frac{1} {2\pi \mathrm{i}} \frac{\partial } {\partial z})}^{k-1}$ acting on a harmonic Maass form for integers k > 2 in terms of ${\xi }_{2-k} := 2\mathrm{i}{y}^{2-k}\overline{ \frac{\partial } {\partial \overline{z}}}$ acting on a different form. Using this interpretation, we compute the image of D k − 1. We also answer a question arising in recent work on the p-adic properties of mock modular forms. Additionally, since such lifts are defined up to a weakly holomorphic form, we demonstrate how to construct a canonical lift from holomorphic modular forms to harmonic Maass forms.postprin

Characterization for the Convergence of Krasnoselskij Iteration for Non-Lipschitzian Operators

We establish the convergence of Krasnoselskij iteration for various classes of non-Lipschitzian operators